# Archimedes' dimension of the circle: A view of the genesis of the extant text

@article{Knorr1986ArchimedesDO, title={Archimedes' dimension of the circle: A view of the genesis of the extant text}, author={Wilbur Richard Knorr}, journal={Archive for History of Exact Sciences}, year={1986}, volume={35}, pages={281-324} }

Of all the works in the Archimedean corpus, none has been more widely studied from ancient and medieval times to the present day than the short tract on the measurement of the circle. It was cited frequently by the ancient mathematical commentators, was known in the Latin Middle Ages in translations both from the Arabic and directly from the Greek, and remains prominent in all general discussions of Archimedes' geometry to this day.1 The popularity of this work is easily understood. Its…

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## References

SHOWING 1-10 OF 12 REFERENCES

Archimedes and the elements: Proposal for a revised chronological ordering of the Archimedean corpus

- Computer Science
- 1978

The present reexamination of this question of Archimedean chronology will show how tenuous are the foundations of the orderings now in standard usage, and present a chronological order which differs from the standard accepted sequence in certain important respects.

The Hyperbola‐Construction in the Conics, Book II: Ancient Variations on a Theorem of Apollonius

- History
- 1981

In the fourth proposition of Book II of Apollonius' Conies one finds a method of constructing the hyperbola of which a point and both asymptotes are given. But a close examination of this proposition…

Archimedes and the measurement of the circle: A new interpretation

- Physics
- 1976

In the third propos i t ion of the Dimensio Circuti, ARCHIMEDES established 3-~ as an upper bound , 3~7~ ° as a lower b o u n d for the ra t io of the perimeter to the diameter of the circle.…

The Mathematician Zenodorus

- Art
- 1972

Z ENODORUS the mathematician is best known for his treatise n€p' lC01T€PLf.LhpWll1 cX1Jf.La:rwll, On Figures of Equal Boundary. This, like all his works, is lost, but part of its contents has been…

Archimedes'On the Measurement of a Circle Proposition 1: An Attempt at Reconstruction

- Art
- 1979

Les versions du texte d'Archimede sur la mesure du cercle, dans l'Antiquite et le Moyen-Age. Pappus, Theon d'Alexandrie, Gerard de Cremone, Plato de Tivoli, Al Tusi, J. L. Heiberg.

A history of Greek mathematics

- Mathematics
- 1921

A text which looks at the history of Greek mathematics - a subject on which the author established a special authority by his succession of works on Diophantus, Apolonius of Perga, Archimedes, Euclid…

Thirteen Books of Euclid's Elements

- Mathematics
- 1908

There is disclosed a telephone number indexing device which comprises a casing having an upper opening and housing therein a plurality of cards on which telephone numbers are recorded. When any card…